tion. 4.
A A'B'C' is the image of A ABC after a translation.
Write a rule in ARROW NOTATION for the
translation
y B
A
A
C с
B
O-A
C
TXY
Answers
Given:
The triangle A'B'C' is the image of triangle ABC after a translation as shown in the given graph.
To find:
The rule of translation in ARROW NOTATION.
Solution:
The general rule for translation is:
[tex](x,y)\to (x+a,y+b)[/tex] ...(i)
Where, a and b are constants.
From the given graph it is clear that the coordinate of point A are (2,3) and coordinates of point A' are (4,-2).
Using (i), the image of A(2,3) is
[tex]A(2,3)\to A'(2+a,3+b)[/tex]
We have, A'(4,-2).
[tex]A'(2+a,3+b)=A'(4,-2)[/tex]
On comparing both sides, we get
[tex]2+a=4[/tex]
[tex]a=4-2[/tex]
[tex]a=2[/tex]
And,
[tex]3+b=-2[/tex]
[tex]b=-2-3[/tex]
[tex]b=-5[/tex]
Putting [tex]a=2[/tex] and [tex]b=-5[/tex] in (i), we get
[tex](x,y)\to (x+2,y+(-5))[/tex]
[tex](x,y)\to (x+2,y-5)[/tex]
Therefore, the rule in ARROW NOTATION for the given translation is [tex](x,y)\to (x+2,y-5)[/tex].
Related Questions
Carly went to walk her dog at 11:45 a.m. and got back home at 12:30 p.m. How long
was her walk
Answers
Answer:
45 minutes
Step-by-step explanation:
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answers
Answer:
A.......No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius
Step-by-step explanation:
Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:
a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:
[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]
Greater than 6 miles, hence option a is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
Please tell me the expression to this
Answers
Answer:
5(5x+11)
Step-by-step explanation:
Answer: 5(5x+11)
Step-by-step explanation:
What multiplies to be 25x, 5 and 5 x is the answer, 5 goes on the left because of the next step which is what times what equals 55. 5 times 11 equals 55. So 11 is on the top while 5 is on the left,
solve for y
2y-13=11
Answers
Answer:
y = 12
Step-by-step explanation:
2y - 13 = 11
add
2y = 24
divide
y = 12
2y - 13 = 11
+ 13 + 13
-----------------------
2y = 24
/2 /2
-----------------------
y = 12
The box and whisker plots represent the number of minutes spent by users on two different social media groups. Which THREE statements are correct when comparing the plots?
A) The median time for users of Group B is 40 minutes.
B) Group B has greater median value than Group A.
C) The data for Group B varies slightly more than Group A.
D) The spread of the data for Group A is 25 minutes.
E) The spread of the data for Group A is 40 minutes.
Answers
Answer: I feel the answer is C
Step-by-step explanation:
The three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
What is a box and Whisker plot?A box and whisker plot displays the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum values of a data set.
Let's analyze each of the given statements given the box and whisker plots for both groups:
Statement A is TRUE:
Median time for Group B = 40.
Statement B is FALSE:
Median value for Group A is between 45 and 50
Median value for Group A is 40.
Therefore, Group B does NOT have median value greater than Group A.
Statement C is TRUE:
The interquartile range (IQR) for Group A and Group are similar, therefore, data for Group B varies slightly more than Group A.
Statement D is TRUE while E is FALSE:
Spread for Group A (IQR) = 55 - 30 = 25 minutes
Therefore, the three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.
Learn more about box and whisker plot on:
https://brainly.com/question/12343132
Can someone help me on this plzzz
Answers
10(6)-3
=60-3
=57
can someone help me please
Answers
Answer:
a) 2/3 fraction is shaded.
b) 66.67% is shaded.
Evaluate:
-│-23│ = ____
Answers
Answer:
-23
Step-by-step explanation:
Using the absolute rule,
[tex]\left|-a\right|=a[/tex].
Therefore,
[tex]-|-23|=-23[/tex]
(It becomes 23 first, but then you stick the negative sign after)
Which sets of side lengths could form a triangle? Choose all that apply.
4cm, 6cm, 9cm
3cm, 4cm. 9cm
4cm, 5cm, 9cm
5cm, 5cm, 9cm
3cm, 6cm, 9cm
Answers
Answer:
4, 6, 9 and 5, 5, 9
WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING
RULER AND COMPASSES?
(a) (b) 85 (c) 15 (d) 135
Answers
what is 31=xy+15? for segment addition
Answers
Answer:
x = 16/y
or
y =16/x
Step-by-step explanation:
31=xy+15
subtract 15 from both sides of the equation:
xy = 16
x = 16/y
or
y =16/x
Can someone please help me with math.
Answers
Answer:
6. B
7. D
Step-by-step explanation:
[tex]\sqrt{4}[/tex] = 2
Point A Before: ( 1 , 3 )
1 - 4 = -3
3 - 2 = 1
( -3 , 1 )
hope this helps
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
Answers
Question is not complete, so i have attached it.
Answer:
B: -2x² - 6x² - 6x + 3x + 3 + 2
Step-by-step explanation:
From the image attached, the given polynomial is;
3 - 6x - 2x² + 3x - 6x² + 2
For like terms to be next to each other, we have to rearrange it as follows;
-2x² - 6x² - 6x + 3x + 3 + 2
Like terms are x² and x, thus they are now arranged next to each other.
The only option that corresponds to our answer is option B
Which equation has a axis of symmetry of x=4 ?
Answers
I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.
Or, in a more difficult equation like this...
10x - 60 = 10
10x = 10 +60
10x = 70
x = 7,
where the graph looks like a vertical line with a point on the x axis on 7.
What is the area of the triangle?
24
7
25
units 2. Help me please
Answers
Answer:
area of triangle=1/2×base×height
area of triangle=1/2×24×7
area of triangle=84unit²
How do I solve x squared 3 + 4 when x = 6
Answers
Answer:
Step-by-step explanation:
3 + 4 x = 6
Plot:
Plot
Alternate forms:
4 x = 3
4 x - 3 = 0
Number line:
Number line
Solution:
x = 3/4
will give brainlist
Answers
Answer:
second answer
Step-by-step explanation:
yards is commonly used for large sparse area measurements
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answers
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
What is the value of x in the equation −8 + x = −2? (1 point)
−10
−6
6
10
Answers
-8+=-2
X-8=-2
X-8+8=-2+8
X-8+8=-2+8
X=-2+8
Simplified to 6
Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?
Answers
Which of the following could be the answer to a statistical question?
А 10
B Yes
C "December 18th"
D 2. 18. 32. and 40"
help I will mark you
Answers
Answer:
the solution would be 10 to the best of my knowledge
In 2018 sienna invested 5000. The value of the invest,ent increases by 3%each year compounded weekly if she doesn't make additional transactions, what will be the value of her investment in 2025
Answers
Answer:
6168.02
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value - 5000
R = interest rate = 0.03
N = number of years = 7
m = Number of compounding = 52
5000 x ( 1.000577)^52 x 7 = 6168.02
Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?
Answers
Answer:
No
Step-by-step explanation:
1. (270 * 3) + (650 * 1)
2. 810 + 650
3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.
4. 1500 > 1460, so Mark would not meet his goal by doing this.
What would it be? thank you
Answers
Answer:
C = 43.98 inches; A = 153.94 square inches
Step-by-step explanation:
2*pi*(7)=43.98
pi*(7)^2=153.94
❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗
Answers
Answer: c
Step-by-step explanation:
Answer:
again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties
Step-by-step explanation:
doesn't mean I'm right though.
pls help me, i will actually give BRAINLIEST:
What is the transformation shown in the graph?
Answers
Answer:
Step-by-step explanation:
it's rotated by 90° about the origin , in a clock wise direction
Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)
Answers
Answer:
You'd need 2/5 of 9.2 pints of blue paint
2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint
Step-by-step explanation:
Two angles of a quadrilateral measure 110° and 120°. The other two angles are in a ratio of
3:10. What are the measures of those two angles?
Answers
Answer:
30, 130
Step-by-step explanation:
sum of internal angles in a quadrilateral is 360.
sum of other two angles
[tex] = 360 - (120 + 110) \\ = 360 - 230 \\ = 130[/tex]
hello please help i’ll give brainliest
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1/2
Explanation:
1/4 - (-1/4) = 1/4 + 1/4 = 1/2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The radius of a circle is 3.8 feet find the diameter
Answers
Answer:
7.6
Step-by-step explanation:
radius is half the diameter so multiply 3.8 times 2.